1. Ping pong balls D Bookmark this page Part B Homework due Aug 10, 202218:00 +03 Linear approximation 1 point possible [graded] The current regulation ping pong ball has radius 1" cm and requires 11: grams of plastic. If the regulation radius is changed by A? cm, how much plastic will be required for the new balls? Assume that the thickness of the balls does not change, and that the thickness is very small in comparison to the radius. Find an approximate formula for w in terms of w, r, and A? which is linear. (Type Dr for Ar. Type :1: for multiplication; f for division; /\\ for exponentiation.) w(r+Ar)w Quadratic approximation 1 point possible [graded] Find a more accurate formula that is quadratic. (Type Dr for A5". Type a: for multiplication; .I' for division; A for exponentiation.) w(r+Ar)m Changing parameters 1 point possible [graded] If the increase in plastic is S 6.1%, the price of the balls will remain unchanged. According to the linear approximation, what is the largest change in radius that is allowable that will leave the price unchanged? (Enter answer with one significant figure of accuracy.) A?"